EFFICIENT ALGORITHM OF THE BUCKLING LENGTHS METHOD IN ANALYSIS OF SPATIAL FRAME SYSTEMSFOR STABILITY
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Abstract
An effective computational algorithm has been developed that allows finding the buckling lengths of the rod elements of frame structures. A matrix of reaction from the side of the discarded part of the system is formed for each element and the problem of the eigenvalues of longitudinal bending equation of the rod is solved. When searching for eigenvalues, the stress state in the discarded part of the system is fixed. The algorithm takes into account the interaction of each studied element with all other elements of the structure. The constructed algorithm allows, in a limited time, commensurate with the expenditure of a conventional static calculation, to find an exact solution to the problem of eigenvalues for each rod and to determine the buckling lengths of all rod elements included in the structure.
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